gal(UK) 에서 gal(US) 변환기 - 갤런 UK 에서 갤런 US

Conversion derivation

Express both gal(UK) and gal(US) in the same base unit m3 (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite gal(UK) in the base unit

   $$1\mathrm{gal}(\mathrm{UK})=0.00454609m3$$
2. 2

   Rewrite gal(US) in the base unit

   $$1\mathrm{gal}(\mathrm{US})=0.00378541m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{m3}}{0.00378541\cancel{m3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.00454609}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =1.20095049149\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{m3}}{0.00454609\cancel{m3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.00378541}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =0.832673792204\mathrm{gal}(\mathrm{UK})\end{array}$$